Offcritical statistical models: Factorized scattering theories and bootstrap program
Abstract
We analyze those integrable statistical systems which originate from some relevant perturbations of the minimal models of conformal field theories. When only massive excitations are present, the systems can be efficiently characterized in terms of the relativistic scattering data. We review the general properties of the factorizable Smatrix in two dimensions with particular emphasis on the bootstrap principle. The classificati on program of the allowed spins of conserved currents and of the nondegenerate Smatrices is discussed and illustrated by means of some significant examples. The scattering theories of several massive perturbations of the minimal models are fully discussed. Among them are the Ising model, the tricritical Ising model, the Potts models, the series of the nonunitary minimal models M_{2,2n}_{+3}, the nonunitary model M_{3,5} and the scaling limit of the polymer system. The ultraviolet limit of these massive integrable theories can be exploited by the thermodynamics Bethe ansatz, in particular the central charge of the original conformal theories can be recovered from the scattering data. We also consider the numerical method based on the socalled conformal space truncated approach which confirms the theoretical results and allows a direct measurement of the scattering data, i.e. the masses and the Smatrix of the particles in bootstrap interaction. The problem of computing the offcritical correlation functions is discussed in terms of the formfactor approach.
 Publication:

Physics Reports
 Pub Date:
 October 1992
 DOI:
 10.1016/03701573(92)900474
 Bibcode:
 1992PhR...218..215M